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Parallel Linear Multigrid Algorithms Applied to the Acceleration of Compressible Flows

G. Carré 1 Stephane Lanteri L. Fournier
1 SINUS - Numerical Simulation for the Engineering Sciences
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The interest in unstructured meshes for Computational Fluid Dynamics (CFD) applications appears to be increansingly important in the industrial community. Industrial applications require the numerical simulation of complex flows (i.e. the underlying flows exhibit localized high variations of physical quantities) around or within complex geometries. Unstructured meshes are particularly well suited to these kinds of simulation due to their ability in accurately discretizing complex computational domains and, to their flexibility in dynamically refining and derefining, or deforming, in order to match the underlying flow features. Concerning flow solvers, the main question appears to be the lack of efficiency demonstrated by unstructured mesh solvers compared to structured ones. Many efficient methods developed in the structured context are not easily extensible to unstructured meshes and much research work has yet to be done in this direction. During the last ten years, several such works have demonstrated that multigrid principles can yield robust and efficient unstructured mesh solvers (see for example Lallemand {\it et al.}\cite{Lal92}, Koobus {\it et al.}\cite{Lal94}, Carré\cite{Car97}, Mavriplis {\it et al.}\cite{Mav87}-\cite{Mav88}-\cite{Mav95}). In this report, we describe ongoing research activities aiming at the construction of efficient and robust unstructured multigrid solvers for complex 2D and 3D flow simulations. Both academic and industrial aspects are considered.
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Submitted on : Wednesday, May 24, 2006 - 12:16:21 PM
Last modification on : Friday, February 4, 2022 - 3:18:53 AM
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  • HAL Id : inria-00073228, version 1



G. Carré, Stephane Lanteri, L. Fournier. Parallel Linear Multigrid Algorithms Applied to the Acceleration of Compressible Flows. RR-3462, INRIA. 1998. ⟨inria-00073228⟩



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